Acronym paccarnit
Name partially contracted cellirhombated penteractitriacontiditeron
Circumradius ...
Lace city
in approx. ASCII-art 
       x3o4x  o3x4x  x3o4x       		-- pacsrit
                                 
                                 
                                 
x3o4x  u3o4x  x3x4x  u3o4x  x3o4x		-- pacprit
                                 
                                 
                                 
o3x4x  x3x4x  x3o4w  x3x4x  o3x4x		-- pacproh
                                 
                                 
                                 
                                 
                                 
o3x4x  x3x4x  x3o4w  x3x4x  o3x4x		-- pacproh
                                 
                                 
                                 
x3o4x  u3o4x  x3x4x  u3o4x  x3o4x		-- pacprit
                                 
                                 
                                 
       x3o4x  o3x4x  x3o4x       		-- pacsrit

  |      |      |      |      +-- o3x3o4x (srit)
  |      |      |      +--------- x3x3o4x (prit)
  |      |      +---------------- x3o3x4x (proh)
  |      +----------------------- x3x3o4x (prit)
  +------------------------------ o3x3o4x (srit)
Coordinates
  • (sqrt(2); (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)                 & all permutations within all but first coord, all changes of sign
  • (1/sqrt(2); (1+2 sqrt(2))/2, (1+sqrt(2))/2, 1/2, 1/2)           & all permutations within but first coord, all changes of sign
  • (0; (1+2 sqrt(2))/2, (1+sqrt(2))/2, (1+sqrt(2))/2, 1/2)       & all permutations within but first coord, all changes of sign
Face vector 768, 3168, 3920, 1712, 194
Confer
uniform relative:
sart   carnit   prohp  
general polytopal classes:
partial Stott expansions  

This CRF polyteron can be obtained from carnit by partial Stott contraction only within a single axial direction. Thence it is just the withdrawel of the medial prohp segment therefrom.


Incidence matrix according to Dynkin symbol

((Qqo oxx3xxo3oox4xxx))&#zxt

  o.. o..3o..3o..4o..       | 192   *   * |   4   2   2   0   0   0   0   0   0  0 |   2   2   4  1   1   4   4   0   0   0  0   0   0   0   0  0  0  0  0 |  1  2  2   2   2   2   4  2  0  0  0   0   0   0   0  0  0 | 1  1  2  1  2  0 0
  .o. .o.3.o.3.o.4.o.       |   * 384   * |   0   0   1   1   2   2   2   0   0  0 |   0   0   0  0   1   2   2   2   1   2  1   2   2   1   2  0  0  0  0 |  0  0  0   2   2   1   2  1  1  1  1   1   2   1   2  0  0 | 0  1  2  1  1  1 1
  ..o ..o3..o3..o4..o       |   *   * 192 |   0   0   0   0   0   0   4   2   2  1 |   0   0   0  0   0   0   0   0   0   0  0   4   2   4   4  1  2  2  1 |  0  0  0   2   0   0   0  0  0  0  2   4   4   2   2  1  1 | 0  2  2  0  0  2 1
----------------------------+-------------+----------------------------------------+-----------------------------------------------------------------------+------------------------------------------------------------+-------------------
  ... ... x.. ... ...       |   2   0   0 | 384   *   *   *   *   *   *   *   *  * |   1   1   1  0   0   1   0   0   0   0  0   0   0   0   0  0  0  0  0 |  1  1  1   1   0   1   1  0  0  0  0   0   0   0   0  0  0 | 1  1  1  0  1  0 0
  ... ... ... ... x..       |   2   0   0 |   * 192   *   *   *   *   *   *   *  * |   0   0   2  1   0   0   2   0   0   0  0   0   0   0   0  0  0  0  0 |  0  1  2   0   1   0   2  2  0  0  0   0   0   0   0  0  0 | 1  0  1  1  2  0 0
  oo. oo.3oo.3oo.4oo.  &#x  |   1   1   0 |   *   * 384   *   *   *   *   *   *  * |   0   0   0  0   1   2   2   0   0   0  0   0   0   0   0  0  0  0  0 |  0  0  0   2   2   1   2  1  0  0  0   0   0   0   0  0  0 | 0  1  2  1  1  0 0
  ... .x. ... ... ...       |   0   2   0 |   *   *   * 192   *   *   *   *   *  * |   0   0   0  0   1   0   0   2   0   0  0   2   0   0   0  0  0  0  0 |  0  0  0   2   2   0   0  0  1  0  0   1   2   0   0  0  0 | 0  1  2  1  0  1 0
  ... ... .x. ... ...       |   0   2   0 |   *   *   *   * 384   *   *   *   *  * |   0   0   0  0   0   1   0   0   1   1  0   0   1   0   0  0  0  0  0 |  0  0  0   1   0   1   1  0  0  1  0   0   0   1   1  0  0 | 0  1  1  0  1  0 1
  ... ... ... ... .x.       |   0   2   0 |   *   *   *   *   * 384   *   *   *  * |   0   0   0  0   0   0   1   1   0   1  1   0   0   0   1  0  0  0  0 |  0  0  0   0   1   0   1  1  1  1  1   0   1   0   1  0  0 | 0  0  1  1  1  1 1
  .oo .oo3.oo3.oo4.oo  &#x  |   0   1   1 |   *   *   *   *   *   * 768   *   *  * |   0   0   0  0   0   0   0   0   0   0  0   1   1   1   1  0  0  0  0 |  0  0  0   1   0   0   0  0  0  0  1   1   1   1   1  0  0 | 0  1  1  0  0  1 1
  ... ..x ... ... ...       |   0   0   2 |   *   *   *   *   *   *   * 192   *  * |   0   0   0  0   0   0   0   0   0   0  0   2   0   0   0  1  1  1  0 |  0  0  0   2   0   0   0  0  0  0  0   2   2   0   0  1  1 | 0  2  2  0  0  1 0
  ... ... ... ..x ...       |   0   0   2 |   *   *   *   *   *   *   *   * 192  * |   0   0   0  0   0   0   0   0   0   0  0   0   0   2   0  0  1  0  1 |  0  0  0   0   0   0   0  0  0  0  1   2   0   2   0  1  0 | 0  2  0  0  0  1 1
  ... ... ... ... ..x       |   0   0   2 |   *   *   *   *   *   *   *   *   * 96 |   0   0   0  0   0   0   0   0   0   0  0   0   0   0   4  0  0  2  0 |  0  0  0   0   0   0   0  0  0  0  2   0   4   0   2  0  1 | 0  0  2  0  0  2 1
----------------------------+-------------+----------------------------------------+-----------------------------------------------------------------------+------------------------------------------------------------+-------------------
  ... o..3x.. ... ...       |   3   0   0 |   3   0   0   0   0   0   0   0   0  0 | 128   *   *  *   *   *   *   *   *   *  *   *   *   *   *  *  *  *  * |  1  1  0   1   0   0   0  0  0  0  0   0   0   0   0  0  0 | 1  1  1  0  0  0 0
  ... ... x..3o.. ...       |   3   0   0 |   3   0   0   0   0   0   0   0   0  0 |   * 128   *  *   *   *   *   *   *   *  *   *   *   *   *  *  *  *  * |  1  0  1   0   0   1   0  0  0  0  0   0   0   0   0  0  0 | 1  1  0  0  1  0 0
  ... ... x.. ... x..       |   4   0   0 |   2   2   0   0   0   0   0   0   0  0 |   *   * 192  *   *   *   *   *   *   *  *   *   *   *   *  *  *  *  * |  0  1  1   0   0   0   1  0  0  0  0   0   0   0   0  0  0 | 1  0  1  0  1  0 0
  ... ... ... o..4x..       |   4   0   0 |   0   4   0   0   0   0   0   0   0  0 |   *   *   * 48   *   *   *   *   *   *  *   *   *   *   *  *  *  *  * |  0  0  2   0   0   0   0  2  0  0  0   0   0   0   0  0  0 | 1  0  0  1  2  0 0
  ... ox. ... ... ...  &#x  |   1   2   0 |   0   0   2   1   0   0   0   0   0  0 |   *   *   *  * 192   *   *   *   *   *  *   *   *   *   *  *  *  *  * |  0  0  0   2   2   0   0  0  0  0  0   0   0   0   0  0  0 | 0  1  2  1  0  0 0
  ... ... xx. ... ...  &#x  |   2   2   0 |   1   0   2   0   1   0   0   0   0  0 |   *   *   *  *   * 384   *   *   *   *  *   *   *   *   *  *  *  *  * |  0  0  0   1   0   1   1  0  0  0  0   0   0   0   0  0  0 | 0  1  1  0  1  0 0
  ... ... ... ... xx.  &#x  |   2   2   0 |   0   1   2   0   0   1   0   0   0  0 |   *   *   *  *   *   * 384   *   *   *  *   *   *   *   *  *  *  *  * |  0  0  0   0   1   0   1  1  0  0  0   0   0   0   0  0  0 | 0  0  1  1  1  0 0
  ... .x. ... ... .x.       |   0   4   0 |   0   0   0   2   0   2   0   0   0  0 |   *   *   *  *   *   *   * 192   *   *  *   *   *   *   *  *  *  *  * |  0  0  0   0   1   0   0  0  1  0  0   0   1   0   0  0  0 | 0  0  1  1  0  1 0
  ... ... .x.3.o. ...       |   0   3   0 |   0   0   0   0   3   0   0   0   0  0 |   *   *   *  *   *   *   *   * 128   *  *   *   *   *   *  *  *  *  * |  0  0  0   0   0   1   0  0  0  1  0   0   0   1   0  0  0 | 0  1  0  0  1  0 1
  ... ... .x. ... .x.       |   0   4   0 |   0   0   0   0   2   2   0   0   0  0 |   *   *   *  *   *   *   *   *   * 192  *   *   *   *   *  *  *  *  * |  0  0  0   0   0   0   1  0  0  1  0   0   0   0   1  0  0 | 0  0  1  0  1  0 1
  ... ... ... .o.4.x.       |   0   4   0 |   0   0   0   0   0   4   0   0   0  0 |   *   *   *  *   *   *   *   *   *   * 96   *   *   *   *  *  *  *  * |  0  0  0   0   0   0   0  1  1  1  1   0   0   0   0  0  0 | 0  0  0  1  1  1 1
  ... .xx ... ... ...  &#x  |   0   2   2 |   0   0   0   1   0   0   2   1   0  0 |   *   *   *  *   *   *   *   *   *   *  * 384   *   *   *  *  *  *  * |  0  0  0   1   0   0   0  0  0  0  0   1   1   0   0  0  0 | 0  1  1  0  0  1 0
  ... ... .xo ... ...  &#x  |   0   2   1 |   0   0   0   0   1   0   2   0   0  0 |   *   *   *  *   *   *   *   *   *   *  *   * 384   *   *  *  *  *  * |  0  0  0   1   0   0   0  0  0  0  0   0   0   1   1  0  0 | 0  1  1  0  0  0 1
  ... ... ... .ox ...  &#x  |   0   1   2 |   0   0   0   0   0   0   2   0   1  0 |   *   *   *  *   *   *   *   *   *   *  *   *   * 384   *  *  *  *  * |  0  0  0   0   0   0   0  0  0  0  1   1   0   1   0  0  0 | 0  1  0  0  0  1 1
  ... ... ... ... .xx  &#x  |   0   2   2 |   0   0   0   0   0   1   2   0   0  1 |   *   *   *  *   *   *   *   *   *   *  *   *   *   * 384  *  *  *  * |  0  0  0   0   0   0   0  0  0  0  1   0   1   0   1  0  0 | 0  0  1  0  0  1 1
  ... ..x3..o ... ...       |   0   0   3 |   0   0   0   0   0   0   0   3   0  0 |   *   *   *  *   *   *   *   *   *   *  *   *   *   *   * 64  *  *  * |  0  0  0   2   0   0   0  0  0  0  0   0   0   0   0  1  1 | 0  2  2  0  0  0 0
  ... ..x ... ..x ...       |   0   0   4 |   0   0   0   0   0   0   0   2   2  0 |   *   *   *  *   *   *   *   *   *   *  *   *   *   *   *  * 96  *  * |  0  0  0   0   0   0   0  0  0  0  0   2   0   0   0  1  0 | 0  2  0  0  0  1 0
  ... ..x ... ... ..x       |   0   0   4 |   0   0   0   0   0   0   0   2   0  2 |   *   *   *  *   *   *   *   *   *   *  *   *   *   *   *  *  * 96  * |  0  0  0   0   0   0   0  0  0  0  0   0   2   0   0  0  1 | 0  0  2  0  0  1 0
  ... ... ..o3..x ...       |   0   0   3 |   0   0   0   0   0   0   0   0   3  0 |   *   *   *  *   *   *   *   *   *   *  *   *   *   *   *  *  *  * 64 |  0  0  0   0   0   0   0  0  0  0  0   0   0   2   0  1  0 | 0  2  0  0  0  0 1
----------------------------+-------------+----------------------------------------+-----------------------------------------------------------------------+------------------------------------------------------------+-------------------
  ... o..3x..3o.. ...       ♦   6   0   0 |  12   0   0   0   0   0   0   0   0  0 |   4   4   0  0   0   0   0   0   0   0  0   0   0   0   0  0  0  0  0 | 32  *  *   *   *   *   *  *  *  *  *   *   *   *   *  *  * | 1  1  0  0  0  0 0
  ... o..3x.. ... x..       ♦   6   0   0 |   6   3   0   0   0   0   0   0   0  0 |   2   0   3  0   0   0   0   0   0   0  0   0   0   0   0  0  0  0  0 |  * 64  *   *   *   *   *  *  *  *  *   *   *   *   *  *  * | 1  0  1  0  0  0 0
  ... ... x..3o..4x..       ♦  24   0   0 |  24  24   0   0   0   0   0   0   0  0 |   0   8  12  6   0   0   0   0   0   0  0   0   0   0   0  0  0  0  0 |  *  * 16   *   *   *   *  *  *  *  *   *   *   *   *  *  * | 1  0  0  0  1  0 0
  ... oxx3xxo ... ...  &#xt ♦   3   6   3 |   3   0   6   3   3   0   6   3   0  0 |   1   0   0  0   3   3   0   0   0   0  0   3   3   0   0  1  0  0  0 |  *  *  * 128   *   *   *  *  *  *  *   *   *   *   *  *  * | 0  1  1  0  0  0 0
  ... ox. ... ... xx.  &#x  ♦   2   4   0 |   0   1   4   2   0   2   0   0   0  0 |   0   0   0  0   2   0   2   1   0   0  0   0   0   0   0  0  0  0  0 |  *  *  *   * 192   *   *  *  *  *  *   *   *   *   *  *  * | 0  0  1  1  0  0 0
  ... ... xx.3oo. ...  &#x  ♦   3   3   0 |   3   0   3   0   3   0   0   0   0  0 |   0   1   0  0   0   3   0   0   1   0  0   0   0   0   0  0  0  0  0 |  *  *  *   *   * 128   *  *  *  *  *   *   *   *   *  *  * | 0  1  0  0  1  0 0
  ... ... xx. ... xx.  &#x  ♦   4   4   0 |   2   2   4   0   2   2   0   0   0  0 |   0   0   1  0   0   2   2   0   0   1  0   0   0   0   0  0  0  0  0 |  *  *  *   *   *   * 192  *  *  *  *   *   *   *   *  *  * | 0  0  1  0  1  0 0
  ... ... ... oo.4xx.  &#x  ♦   4   4   0 |   0   4   4   0   0   4   0   0   0  0 |   0   0   0  1   0   0   4   0   0   0  1   0   0   0   0  0  0  0  0 |  *  *  *   *   *   *   * 96  *  *  *   *   *   *   *  *  * | 0  0  0  1  1  0 0
  ... .x. ... .o.4.x.       ♦   0   8   0 |   0   0   0   4   0   8   0   0   0  0 |   0   0   0  0   0   0   0   4   0   0  2   0   0   0   0  0  0  0  0 |  *  *  *   *   *   *   *  * 48  *  *   *   *   *   *  *  * | 0  0  0  1  0  1 0
  ... ... .x.3.o.4.x.       ♦   0  24   0 |   0   0   0   0  24  24   0   0   0  0 |   0   0   0  0   0   0   0   0   8  12  6   0   0   0   0  0  0  0  0 |  *  *  *   *   *   *   *  *  * 16  *   *   *   *   *  *  * | 0  0  0  0  1  0 1
((.qo ... ... .ox4.xx))&#zx ♦   0   8   8 |   0   0   0   0   0   8  16   0   4  4 |   0   0   0  0   0   0   0   0   0   0  2   0   0   8   8  0  0  0  0 |  *  *  *   *   *   *   *  *  *  * 48   *   *   *   *  *  * | 0  0  0  0  0  1 1
  ... .xx ... .ox ...  &#x  ♦   0   2   4 |   0   0   0   1   0   0   4   2   2  0 |   0   0   0  0   0   0   0   0   0   0  0   2   0   2   0  0  1  0  0 |  *  *  *   *   *   *   *  *  *  *  * 192   *   *   *  *  * | 0  1  0  0  0  1 0
  ... .xx ... ... .xx  &#x  ♦   0   4   4 |   0   0   0   2   0   2   4   2   0  2 |   0   0   0  0   0   0   0   1   0   0  0   2   0   0   2  0  0  1  0 |  *  *  *   *   *   *   *  *  *  *  *   * 192   *   *  *  * | 0  0  1  0  0  1 0
  ... ... .xo3.ox ...  &#x  ♦   0   3   3 |   0   0   0   0   3   0   6   0   3  0 |   0   0   0  0   0   0   0   0   1   0  0   0   3   3   0  0  0  0  1 |  *  *  *   *   *   *   *  *  *  *  *   *   * 128   *  *  * | 0  1  0  0  0  0 1
  ... ... .xo ... .xx  &#x  ♦   0   4   2 |   0   0   0   0   2   2   4   0   0  1 |   0   0   0  0   0   0   0   0   0   1  0   0   2   0   2  0  0  0  0 |  *  *  *   *   *   *   *  *  *  *  *   *   *   * 192  *  * | 0  0  1  0  0  0 1
  ... ..x3..o3..x ...       ♦   0   0  12 |   0   0   0   0   0   0   0  12  12  0 |   0   0   0  0   0   0   0   0   0   0  0   0   0   0   0  4  6  0  4 |  *  *  *   *   *   *   *  *  *  *  *   *   *   *   * 16  * | 0  2  0  0  0  0 0
  ... ..x3..o ... ..x       ♦   0   0   6 |   0   0   0   0   0   0   0   6   0  3 |   0   0   0  0   0   0   0   0   0   0  0   0   0   0   0  2  0  3  0 |  *  *  *   *   *   *   *  *  *  *  *   *   *   *   *  * 32 | 0  0  2  0  0  0 0
----------------------------+-------------+----------------------------------------+-----------------------------------------------------------------------+------------------------------------------------------------+-------------------
  ... o..3x..3o..4x..       ♦  96   0   0 | 192  96   0   0   0   0   0   0   0  0 |  64  64  96 24   0   0   0   0   0   0  0   0   0   0   0  0  0  0  0 | 16 32  8   0   0   0   0  0  0  0  0   0   0   0   0  0  0 | 2  *  *  *  *  * *
  ... oxx3xxo3oox ...  &#xt ♦   6  12  12 |  12   0  12   6  12   0  24  12  12  0 |   4   4   0  0   6  12   0   0   4   0  0  12  12  12   0  4  6  0  4 |  1  0  0   4   0   4   0  0  0  0  0   6   0   4   0  1  0 | * 32  *  *  *  * *
  ... oxx3xxo ... xxx  &#xt ♦   6  12   6 |   6   3  12   6   6   6  12   6   0  3 |   2   0   3  0   6   6   6   3   0   3  0   6   6   0   6  2  0  3  0 |  0  1  0   2   3   0   3  0  0  0  0   0   3   0   3  0  1 | *  * 64  *  *  * *
  ... ox. ... oo.4xx.  &#x  ♦   4   8   0 |   0   4   8   4   0   8   0   0   0  0 |   0   0   0  1   4   0   8   4   0   0  2   0   0   0   0  0  0  0  0 |  0  0  0   0   4   0   0  2  1  0  0   0   0   0   0  0  0 | *  *  * 48  *  * *
  ... ... xx.3oo.4xx.  &#x  ♦  24  24   0 |  24  24  24   0  24  24   0   0   0  0 |   0   8  12  6   0  24  24   0   8  12  6   0   0   0   0  0  0  0  0 |  0  0  1   0   0   8  12  6  0  1  0   0   0   0   0  0  0 | *  *  *  * 16  * *
((.qo .xx ... .ox4.xx))&#zx ♦   0  16  16 |   0   0   0   8   0  16  32   8   8  8 |   0   0   0  0   0   0   0   8   0   0  4  16   0  16  16  0  4  4  0 |  0  0  0   0   0   0   0  0  2  0  2   8   8   0   0  0  0 | *  *  *  *  * 24 *
((.qo ... .xo3.ox4.xx))&#zx ♦   0  48  24 |   0   0   0   0  48  48  96   0  24 12 |   0   0   0  0   0   0   0   0  16  24 12   0  48  48  48  0  0  0  8 |  0  0  0   0   0   0   0  0  0  2  6   0   0  16  24  0  0 | *  *  *  *  *  * 8

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